47 citations · 60 across the 12 of their papers we have counts for
9 papers · 1 filter
Twisted skew -codes
Angelot Behajaina, Martino Borello, Javier de la Cruz +1
In this paper we investigate left ideals as codes in twisted skew group rings. The considered rings, which are often algebras over a finite field, allows us to detect many of the w…
On the algebraic structure of quasi group codes
Martino Borello, Wolfgang Willems
In this note, an intrinsic description of some families of linear codes with symmetries is given, showing that they can be described more generally as quasi group codes, that is, a…
A Note on Linear Complementary Pairs of Group Codes
Martino Borello, Javier de la Cruz, Wolfgang Willems
We give a short and elementary proof of the fact that for a linear complementary pair , where and are -sided ideals in a group algebra, is uniquely determined…
Group codes over fields are asymptotically good
Martino Borello, Wolfgang Willems
Group codes are right or left ideals in a group algebra of a finite group over a finite field. Following ideas of Bazzi and Mitter on group codes over the binary field, we prove th…
On checkable codes in group algebras
Martino Borello, Javier de la Cruz, Wolfgang Willems
We classify, in terms of the structure of the finite group G, all group algebras KG for which all right ideals are right annihilators of principal left ideals. This means in the la…
On self-dual MRD codes
Gabriele Nebe, Wolfgang Willems
We determine the automorphism group of Gabidulin codes of full length and characterise when these codes are equivalent to self-dual codes.